Question

Tree that is 12 feet tall casts a shadow that is 6 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.

Help

Answer 1

13.4

Explanation:

The tree to the shadow forms a right angle triangle, so to calculate the distance from the tree tip to the shadow tip we can use pythagoras.

a^2 +b^2 = c^2

12^2 +6^2 = 144 +36 = 180 =c^2

Square root of 180 is approx 13.42.

To the nearest 10th = 13.4